1002312420200 has 384 divisors, whose sum is σ = 2890981632000. Its totient is φ = 314704051200.

The previous prime is 1002312420199. The next prime is 1002312420281. The reversal of 1002312420200 is 20242132001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2283171581 + ... + 2283172019.

It is an arithmetic number, because the mean of its divisors is an integer number (7528598000).

Almost surely, 2^{1002312420200} is an apocalyptic number.

1002312420200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002312420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445490816000).

1002312420200 is an abundant number, since it is smaller than the sum of its proper divisors (1888669211800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002312420200 is a wasteful number, since it uses less digits than its factorization.

1002312420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 1002312420200 its reverse (20242132001), we get a palindrome (1022554552201).

The spelling of 1002312420200 in words is "one trillion, two billion, three hundred twelve million, four hundred twenty thousand, two hundred".